Hi ! I am an 8th grade student, I skipped a year in math, and I just wanted to make sure my equation simplifieng for slope is correct. -3x + 2y = 8. Now I know we are using the slope-intercept method, and to do that we have to isolate the "y" so I plussed 3 on both sides of the equation, then we have, 2y = 3x + 8, but "y" isn't by itself yet so we have to divide both sides of the equation by 2 and I got , y = 3x + 4, so my slope is 3 and my y-intercept is 4 right ?

Question

anonymous · Answer

"but "y" isn't by itself yet so we have to divide both sides of the equation by 2"

you need to divide everything on the right by 2, not just the 8

anonymous · Answer

I did though, I devided by 2.

anonymous · Answer

$$\frac{1}{2}(3x+8)=\frac{3}{2}x+4$$

anonymous · Answer

that is what i mean by "everything" you must divide $3x$ by 2 as well as divide 8 bu 2

anonymous · Answer

? No , I just need slope lol, not that . I ended up with a final slope equation of y = 3x + 4

anonymous · Answer

I wasn't taught that way yet though, just to find the second point on the graph using rise/run.

anonymous · Answer

lets go slow

anonymous · Answer

you are right to this line 
$$2y = 3x + 8$$

anonymous · Answer

okay ! ready

anonymous · Answer

you want to solve this for $y$ and you said "divide by 2" right?

anonymous · Answer

when you divide both sides of an equation by 2 you must divide each term by 2

anonymous · Answer

No, no ,no lol sorry if I was un clear, I just want to isolate y (get it by itself )

anonymous · Answer

yes i know that is what you are trying to do

anonymous · Answer

and you do that by dividing both sides by 2

anonymous · Answer

when you divide $2y$ by 2 you get $y$

anonymous · Answer

so we put everything on the right side of the equation over 2

anonymous · Answer

when you divide $3x+8$ by 2 you get $\frac{3}{2}x+4$

anonymous · Answer

you cannot just divide the constant 8 by 2 and leave the $3x$ alone, you have to divide $3x$ by 2 also

anonymous · Answer

no, just 3/1

anonymous · Answer

for slope

anonymous · Answer

your slope is therefore $\frac{3}{2}$ not 3

anonymous · Answer

so.... 3/2 x wold be my slope ?

anonymous · Answer

yes

anonymous · Answer

gotta run, good luck http://en.wikipedia.org/wiki/Beit_Jala

anonymous · Answer

okay thanx !